| 两类组合恒等式的过渡方法 |
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| 引用本文： | 初文昌.两类组合恒等式的过渡方法[J].纯粹数学与应用数学,1993,9(1):1-6. |
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| 作者姓名： | 初文昌 |
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| 作者单位： | 中国科学院系统科学研究所 北京 |
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| 摘 要： | 本文提出联系两类组合恒等式的极限方法，据此可二项式系数和项式系数恒等式自然过渡到Ａｂｅｌ型系数的组合等式。因此对任一给定的含参量的二项式系数的组合恒等式。这一方法可用于直接证明其至发现相同结构的Ａｂｅｌ系数恒等式。
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| 关 键 词： | 组合恒等式 H－R恒等式 M－H卷积 Jessen公式 |
TRANSITION METHOD FOR TWO CLASSES OF COMBINATORIAL IDENTITIES |
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| CHU WENCHANG Institute of Systems Science,Academia Sinica,Beijing.TRANSITION METHOD FOR TWO CLASSES OF COMBINATORIAL IDENTITIES[J].Pure and Applied Mathematics,1993,9(1):1-6. |
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| Authors: | CHU WENCHANG Institute of Systems Science Academia Sinica Beijing |
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| Abstract: | This note proposes a limiting method for two classes of combinatorial iden- tities, by means of which one can naturally derive Abel type identities from binomial ormultinomial ones. For any given binomial or multinomial type identities, the presented lim-iting process can be used to verify or discover their corresponding Abel-type ones immedi-ately. |
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| Keywords: | Combinalomial identities binomial dentities Abel type identities |
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